F.5 Ch.11 Standard Score

What is the unit of the standard score (a.k.a. z-score) ?

What is the meaning of having a z-score equal 0 ( i.e. $z=0$ ) ?

In a bookstore, the mean and standard deviation of the weights of the books are 290 g and 20 g respectively. Find the standard score of the weight of a book of 300 g .

There is a box of paper clips, where the standard deviation and the mean of their lengths are 2.5 cm and 6 cm respectively. If a selected clip is 7 cm long, find its standard score.

The mean of the amounts of the electric bills in City A is $300 . Find the standard deviation of the amounts if the amount is $282 and the standard score is - 0.375 .

The mean of the amounts of the electric bills in City B is $300 . Find the amount of the bill if the standard deviation is $60 and the standard score is 1.5 .

The standard deviation of the results of a test is 3.5 marks. Amy obtains 18 marks and has a standard score of 1.75 . Find the result of Ben if his standard score is -1.25 .

The mean of the heights of Class 5C is 158 cm. Kelvin is 164 cm tall and has a standard score of 1.2 . Find the height of Thomas if his standard score is 1.4 .